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Repulsive delayed random walk

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Abstract

We studied a random walk with delayed feedback around an unstable fixed point. It was found that the random walker can be kept around the fixed point with longer delays. This is in contrast to the normal role of delay, which is generally thought to be a source of instability. We discuss the connection of our model to stick-balancing experiments, and propose new type of control paradigm called “delayed stochastic control.”

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References

  1. T Ohira JG Milton (1995) ArticleTitleDelayed random walks Phys Rev E 52 3277–3280 Occurrence Handle10.1103/PhysRevE.52.3277

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Authors and Affiliations

  1. Fundamental Research Laboratory, Sony CSL, 3-14-13 Higashi-gotanda, Shinagawa-ku, Tokyo, 141-0022, Japan

    Toru Ohira

  2. Department of Computational Intelligence and Systems Science, Tokyo Institute of Technology, Yokohama, Japan

    Tadaaki Hosaka

Authors
  1. Toru Ohira
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  2. Tadaaki Hosaka
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Corresponding author

Correspondence to Toru Ohira.

Additional information

This work was presented in part at the 9th International Symposium on Artificial Life and Robotics, Oita, Japan, January 28–30, 2004

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Cite this article

Ohira, T., Hosaka, T. Repulsive delayed random walk. Artif Life Robotics 9, 194–196 (2005). https://doi.org/10.1007/s10015-004-0337-1

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  • DOI: https://doi.org/10.1007/s10015-004-0337-1

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